Chung’s theorem for triangular array of independent random variable
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1989), pp. 7-10
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The law of iterated logarithm for maximum partial sums in triangular array of independent random variables has been established.
[1] K. L. Chung, “On the maximum partial sums of sequences of independent random variables”, Trans. Amer. Math. Soc., 64 (1948), 205–233 | DOI | MR | Zbl
[2] P. Erdös, M. Kac, “On certain limit theorems of the theory of probability”, Bull. Am. Math. Soc., 52 (1946), 292–302 | DOI | Zbl
[3] Yu. V. Prokhorov, “Skhodimost sluchainykh protsessov i predelnye teoremy teorii veroyatnosti”, Teoriya veroyatnostei i ee primeneniya, 1 (1956), 157–214 | DOI | MR | Zbl
[4] P. Billingsli, Skhodimost veroyatnostnykh mer, Nauka, M., 1977 | DOI | MR | Zbl